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  • Cited by 10
Cambridge University Press
Online publication date:
September 2020
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Book description

Intersection homology is a version of homology theory that extends Poincaré duality and its applications to stratified spaces, such as singular varieties. This is the first comprehensive expository book-length introduction to intersection homology from the viewpoint of singular and piecewise-linear chains. Recent breakthroughs have made this approach viable by providing intersection homology and cohomology versions of all the standard tools in the homology tool box, making the subject readily accessible to graduate students and researchers in topology as well as researchers from other fields. This text includes both new research material and new proofs of previously-known results in intersection homology, as well as treatments of many classical topics in algebraic and manifold topology. Written in a detailed but expository style, this book is suitable as an introduction to intersection homology or as a thorough reference.


‘… a detailed and meticulous presentation of intersection homology by singular and PL chains.’

Daniel Tanré Source: European Mathematical Society

‘Overall, this monograph is a splendid introduction to noncommutative function-theoretic operator theory. Anyone interested in modern operator theory, function theory, and related areas of analysis will find this book a valuable reference.’

Jaydeb Sarkar Source: MathSciNet

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